A given mass of gas expands from state A to state B by three paths 1, 2 and 3 as shown in the figure If w1,w2 and w3 respectively are be the works done by the gas along three paths, then

Question

A given mass of gas expands from state A to state B by three paths 1, 2 and 3 as shown in the figure Question

If w1,w2 and w3 respectively are be the works done by the gas along three paths, then (A) w1>w2>w3 (B) w1 < w2 < w3 (C) w1=w2=w3 (D) w1 < w2;w1>w3

Tardigrade Admin · Accepted Answer

Work is equal to area under P-V graph (when P is plotted along y-axis). As area under graph 3 is maximum and area under graph 1 is minimum, so w3 is maximum and w1 is minimum. So w1 < w2 < w3 <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/c-mee1zlpm3r5ykfkt.jpg" />

Q. A given mass of gas expands from state A to state B by three paths 1, 2 and 3 as shown in the figure

If $w_{1}, w_{2}$ and $w_{3}$ respectively are be the works done by the gas along three paths, then

$w_{1} > w_{2} > w_{3}$

$w_{1} < w_{2} < w_{3}$

$w_{1} = w_{2} = w_{3}$

$w_{1} < w_{2}; w_{1} > w_{3}$

Work is equal to area under $P - V$ graph (when P is plotted along y-axis). As area under graph 3 is maximum and area under graph 1 is minimum, so $w_{3}$ is maximum and $w_{1}$ is minimum.
So $w_{1} < w_{2} < w_{3}$

Q. A given mass of gas expands from state A to state B by three paths 1, 2 and 3 as shown in the figure If w1​,w2​ and w3​ respectively are be the works done by the gas along three paths, then

w1​>w2​>w3​

w1​<w2​<w3​

w1​=w2​=w3​

w1​<w2​;w1​>w3​